Francesco Amoroso, Lea Terracini
Published 2024-03-05, updated 2024-04-20Version 2
In 2013 P. Habegger proved the Bogomolov property for the field generated over Q by the torsion points of a rational elliptic curve. We explore the possibility of applying the same strategy of proof to the case of field extensions fixed by the kernel of some modular Galois representations.
A finiteness property of torsion points
Congruences like Atkin's for the partition function
Isotropy of multiples of Pfister forms and weak isotropy of forms over field extensions
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